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Title:
AKCN-E8: Compact and Flexible KEM from Ideal Lattice
Authors: Zhengzhong JIn, Yunlei Zhao
Abstract:A remarkable breakthrough in mathematics in recent years is the proof of the long-standing conjecture: sphere packing (i.e., packing unit balls) in the E_8 lattice is optimal in the sense of the best density \cite{V17} for sphere packing in \mathbb{R}^8. In this work, based on the E_8 lattice code, we design a mechanism for asymmetric key consensus from noise (AKCN), referred to as AKCN-E8, for error correction and key consensus. As a direct application of the AKCN-E8 code, we present highly practical key encapsulation mechanism (KEM) from the ideal lattice based on the ring learning with errors (RLWE) problem. Compared to the RLWE-based NewHope-KEM \cite{newhope-NIST}, which is a variant of NewHope-Usenix \cite{newhope15} and is now a promising candidate in the second round of NIST post-quantum cryptography (PQC) standardization competition, our AKCN-E8-KEM has the following advantages: * The size of shared-key is doubled… * More compact ciphertexts, at the same or even higher security level. * More flexible parameter selection for tradeoffs among security, ciphertext size and error probability.
ePrint: https://eprint.iacr.org/2020/056
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